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Finding the Third Proportional to 75,978 and 117,951

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Solution

The third proportional to 75,978 and 117,951 is: 183,111.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,978 : 117,951 = 117,951 : x
  2. Step 2: Convert to fraction form
    75,978/117,951 = 117,951/x
  3. Step 3: Cross multiply
    75,978x = 117,951 × 117,951
  4. Step 4: Simplify right side
    75,978x = 13,912,438,401
  5. Step 5: Solve for x
    x = 13,912,438,401/75,978
  6. Step 6: Final answer
    x = 183,111.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.